Framelet analysis of some geometrical illusions

Hitoshi Arai*, Shinobu Arai

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this paper we study a spiral illusion generated by fractal islands. Furthermore, by a neuro-scientific consideration we present a new class of geometrical illusions. In order to analyse these illusions, we propose a new mathematical method.

Original languageEnglish
Pages (from-to)23-46
Number of pages24
JournalJapan Journal of Industrial and Applied Mathematics
Issue number1
Publication statusPublished - 2010 Jun
Externally publishedYes


  • Extrastriate visual cortex
  • Framelet
  • Geometrical illusion
  • Wavelet frame

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics


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